The universal thermal frequency \( \nu \)  was then identified to \( \dfrac{k_{B} T}{h} \)  after introduction of quantum mechanics in the treatment [1]}, [2]}, of which a simpler interpretation is suggested in Section 3 (). The formal equivalence between Eq.(REF ) and Eq.(REF ) is particularly transparent when using the simple entropy of ideal gases. The notion of free energy is essential for predicting the evolution of a whole macroscopic system, but the Arrhenius equation combining entropy and energy into a single entity of free energy is less practical for deciphering its fundamentally probabilistic nature. The separation into distinct notions also makes clearer the fact that when temperature strongly increases, reactions rates become essentially a matter of entropy since the exponential factor tends to unity.
